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Physical Review A

Optical bistability in a dye-ring cavity

Shangqing Gong, Shao-hua Pan, Guo-Zhen Yang

Published May 1, 1992• 6 citations
Publisher

Abstract

The optical bistability in a dye-ring cavity has been investigated by using the derived Maxwell-Bloch equations based on the band model. It is shown that the bistable conditions and behavior are closely related to the band structure of the dye molecules.
DOI
10.1103/physreva.45.6655

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摘要 利用染料分子带模型，探讨了染料环形腔系统的光学双稳特性，得到光学双稳可在一个比较大的频率范围内实现；其双稳区域是染料分子带结构参数（带宽及偶极分布的Ｌｏｒｅｎｔｚｉａｎ宽度等）的函数． Abstract The optical bistability in a dye ring cavity has been investigated. It is shown that the bistability can be realized in a much wider frequency range, and that the bistable regions are functions of the band structures (the bandwidth and the distri-bution of dipole moments). 作者及机构信息 龚尚庆1, 徐至展1, 潘少华2, 杨国桢2 (1)中国科学院上海光学精密机械研究所; (2)中国科学院物理研究所 Authors and contacts GONG SHANG-QING1, XU ZHI-ZHAN1, PAN SHAO-HUA2, YANG GUO-ZHEN2 (1)中国科学院上海光学精密机械研究所; (2)中国科学院物理研究所 参考文献 施引文献

Acta Physica Sinica•Jan 1, 1994•0 citations

Optical bistability and soliton switching in an optical ring cavity

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This thesis presents the theory of the driven optical ring cavity containing a nonlinear material. First, an overview of the history of bistability and spatial solitons in driven nonlinear cavities is outlined. Then, the basic theory of the optical Kerr effect is presented and two of its consequences are outlined: optical bistability and spatial solitons. Within this background, the mirror feedback model is derived from the Maxwell-Bloch equations and considerations of the classical optics of the cavity. This model is analytically shown to exhibit bistability in the plane wave case. The mean-field model is subsequently derived by applying the mean-field limit to the Maxwell-Bloch equations and the cavity optics. In addition, the mean-field model is analytically shown to exhibit bistability in the plane wave case. Numerical simulations are performed on the mean-field model demonstrating the existence of: (i) plane wave bistability, (ii) transverse modulational bistability, (iii) the ability to “switch†between bistable states in both the plane wave and modulated case, (iv) instabilities in the modulated case and (v) the possibility for optimization of the switching process. Finally, an application of bistable driven cavities is explored: an all-optical digital information processor and storage device.

•Jan 1, 2004•0 citations

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We analyze instabilities in mixed absorptive and dispersive optical bistability in the rate-equation approximation and the mean-field and good-cavity limits. Our starting point is a set of multimode equations derived from the Maxwell-Bloch equations for ring-cavity boundary conditions. We obtain analytic expressions for the instability conditions. In a plane-wave analysis, we find that a portion of the lower transmission branch can be unstable in addition to the upper-branch instability found in purely absorptive bistability. Also, a new disconnected region of instability can exist on the upper branch. Our analysis becomes particularly simple for equal and opposite cavity detunings and we explore this case in detail. We extend our treatment to include a Gaussian transverse intensity profile and show that the instabilities remain in the presence of Gaussian averaging. We also show that many of the results obtained in the rate-equation approximation hold when the atomic linewidth and atomic decay rate are of the same order.

Physical Review A•Jan 1, 1986•14 citations
摘要 利用染料分子带模型，探讨了染料环形腔系统的光学双稳特性，得到光学双稳可在一个比较大的频率范围内实现；其双稳区域是染料分子带结构参数（带宽及偶极分布的Ｌｏｒｅｎｔｚｉａｎ宽度等）的函数． Abstract The optical bistability in a dye ring cavity has been investigated. It is shown that the bistability can be realized in a much wider frequency range, and that the bistable regions are functions of the band structures (the bandwidth and the distri-bution of dipole moments). 作者及机构信息 龚尚庆1, 徐至展1, 潘少华2, 杨国桢2 (1)中国科学院上海光学精密机械研究所; (2)中国科学院物理研究所 Authors and contacts GONG SHANG-QING1, XU ZHI-ZHAN1, PAN SHAO-HUA2, YANG GUO-ZHEN2 (1)中国科学院上海光学精密机械研究所; (2)中国科学院物理研究所 参考文献 施引文献
This thesis presents the theory of the driven optical ring cavity containing a nonlinear material. First, an overview of the history of bistability and spatial solitons in driven nonlinear cavities is outlined. Then, the basic theory of the optical Kerr effect is presented and two of its consequences are outlined: optical bistability and spatial solitons. Within this background, the mirror feedback model is derived from the Maxwell-Bloch equations and considerations of the classical optics of the cavity. This model is analytically shown to exhibit bistability in the plane wave case. The mean-field model is subsequently derived by applying the mean-field limit to the Maxwell-Bloch equations and the cavity optics. In addition, the mean-field model is analytically shown to exhibit bistability in the plane wave case. Numerical simulations are performed on the mean-field model demonstrating the existence of: (i) plane wave bistability, (ii) transverse modulational bistability, (iii) the ability to “switch†between bistable states in both the plane wave and modulated case, (iv) instabilities in the modulated case and (v) the possibility for optimization of the switching process. Finally, an application of bistable driven cavities is explored: an all-optical digital information processor and storage device.
We compare theoretical predictions and experimental data for the multimode instability of optical bistability, which arises from the coherent dynamics of a system of two-level molecules contained in an optical cavity and driven by an external stationary laser field. Considerable insight into this phenomenon is provided by two ``rules of thumb'' that govern the behavior of the self-pulsing frequency, and establish its relation with the Rabi frequency of the intracavity field. We describe in detail the experimental apparatus and the main features of the experimental findings. The theoretical results are based on the Maxwell-Bloch equations for a ring cavity in the plane-wave approximation. Despite the crudeness of this model, the numerical data display a satisfactory qualitative agreement with the experimental results. Additional period-doubling and chaotic phenomena, predicted by the theory and not observed in the experiment, are presumably washed out by the longitudinal and radial variation of the electric field in the cavity.
We analyze instabilities in mixed absorptive and dispersive optical bistability in the rate-equation approximation and the mean-field and good-cavity limits. Our starting point is a set of multimode equations derived from the Maxwell-Bloch equations for ring-cavity boundary conditions. We obtain analytic expressions for the instability conditions. In a plane-wave analysis, we find that a portion of the lower transmission branch can be unstable in addition to the upper-branch instability found in purely absorptive bistability. Also, a new disconnected region of instability can exist on the upper branch. Our analysis becomes particularly simple for equal and opposite cavity detunings and we explore this case in detail. We extend our treatment to include a Gaussian transverse intensity profile and show that the instabilities remain in the presence of Gaussian averaging. We also show that many of the results obtained in the rate-equation approximation hold when the atomic linewidth and atomic decay rate are of the same order.